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You searched for: subject:"finite fields"
[texts]mit :: lcs :: tr :: MIT-LCS-TR-213
From the bitsavers.org collection, a scanned-in computer-related document.mit :: lcs :: tr :: MIT-LCS-TR-213
Keywords: irreducible; polynomial; log; algorithm; operations; algorithms; finite; degree; deg; probabilistic; total number; irreducible factor; irreducible factors; expected number; probabilistic algorithms; finite field; random choice; irreducible polynomial; finite fields; arithmetical operations
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[movies]6.451 Principles of Digital Communication II, Spring 2005 - OCW
This course is the second of a two-term sequence with 6.450. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of 6.450 and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-decision decoding...
Keywords: coding techniques; the Shannon limit of additive white Gaussian noise channels; performance analysis; Small signal constellations; performance analysis; coding gain; Hard-decision and soft-decision decoding; Introduction to binary linear block codes; Reed-Muller codes; finite fields; Reed-Solomon and BCH codes; binary linear convolutional codes; Viterbi and BCJR algorithms; Trellis representations of binary linear block codes; trellis-based ML decoding; Codes on graphs; sum-product; max-product; decoding algorithms; Turbo codes; LDPC codes and RA codes; Coding for the bandwidth-limited regime; Lattice codes; Trellis-coded modulation; Multilevel coding; Shaping
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